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Finding the Fourth Proportional to 397.76, 596.22 and 192.26

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Solution

The fourth proportional to 397.76, 596.22 and 192.26 is: 288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 596.22 = 192.26 : x
  2. Step 2: Convert to fraction form
    397.76/596.22 = 192.26/x
  3. Step 3: Cross multiply
    397.76x = 596.22 × 192.26
  4. Step 4: Simplify right side
    397.76x = 114,629.26
  5. Step 5: Solve for x
    x = 114,629.26/397.76
  6. Step 6: Final answer
    x = 288.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.